弱受迫振子卷吸的最佳波形
Optimal waveform for the entrainment of a weakly forced oscillator
摘要：
本文提出了一种获得弱受迫振子有效卷吸波形的理论。相位模型分析与变分法相结合，导出一种波形，利用该波形，以最小功率强制信号实现振荡器的夹带。根据相位响应曲线和平衡条件的解计算最佳波形。该理论在化学夹带实验中进行了测试，其中接近和远离Hopf分叉的振荡分别呈现出正弦和高次谐波非平凡的最佳波形。
英文摘要：
A theory for obtaining waveform for the effective entrainment of a weakly forced oscillator is presented. Phase model analysis is combined with calculus of variation to derive a waveform with which entrainment of an oscillator is achieved with minimum power forcing signal. Optimal waveforms are calculated from the phase response curve and a solution to a balancing condition. The theory is tested in chemical entrainment experiments in which oscillations close to and further away from a Hopf bifurcation exhibited sinusoidal and higher harmonic nontrivial optimal waveforms, respectively.
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